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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,045 prompts matching "A particle oscillating on the end of an elastic string"

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IGCSE Additional Maths Y11: The term independent of x in a product of two expansions — Explain It Back

I am in SS 2. I have just studied the term independent of x in a product of two expansions

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Quiz me on arrangements when some of the objects are alike

Act as my SS2 Further Mathematics tutor and quiz me on arrangements when some of the objec

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Final Revision: The exclusive sense of or, and its truth table

Act as my SS2 Further Mathematics tutor at the end of the term. Give me a rapid recap of t

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Final Revision: Counting the arrangements of people in a queue

Act as my SS2 Further Mathematics tutor at the end of the term. Give me a rapid recap of c

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Final Revision: Expanding a bracket of the form a plus b over x

Act as my SS2 Further Mathematics tutor at the end of the term. Give me a rapid recap of e

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Quiz me on the sum and product of the roots of a cubic

Act as my SS2 Further Maths tutor. Quiz me with five quadratic equations and ask me to fin

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Teach me the truth table of p if and only if q

You are my SS2 Further Mathematics tutor. Teach me the truth table of p if and only if q,

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Teach me how to the general term formula of a binomial expansion

You are my SS2 Further Mathematics tutor. Teach me the general term formula of a binomial

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Worked example: finding the middle term of a binomial expansion

Act as my SS2 Further Maths tutor. Show me a full worked example of finding the middle ter

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Quiz me on the laws of logarithms used to solve an equation

Act as my SS2 Further Maths tutor. Quiz me with five expressions that I must simplify usin

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Worked example: an AP with first term 5 and common difference 3, find the 20th term and the sum of the first 20 terms

Act as my SS2 Further Maths tutor. Show me a full worked example for this sequences and se

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Worked example: a GP with first term 4 and common ratio 2, find the 8th term and the sum of the first 8 terms

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Worked example: find the stationary points of y = x^3 - 3x^2 - 9x + 5 and classify each one

Act as my SS2 Further Maths tutor. Show me a full worked example for this differentiation

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Worked example: find the equation of the tangent to y = x^2 - 5x + 6 at the point where x = 1

Act as my SS2 Further Maths tutor. Show me a full worked example for this differentiation

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Worked example: find the equation of the line through (2,3) and (5,9)

Act as my SS2 Further Maths tutor. Show me a full worked example for this coordinate geome

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Worked example: find the equation of a circle with centre (2,-1) and radius 4

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Worked example: find the term in x^3 in the expansion of (2x-1)^6

Act as my SS2 Further Maths tutor. Show me a full worked example for this binomial theorem

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Worked example: find the coefficient of x^4 in the expansion of (1+3x)^7

Act as my SS2 Further Maths tutor. Show me a full worked example for this binomial theorem

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Worked example: write the converse, inverse and contrapositive of 'if a number is even, then it is divisible by 2'

Act as my SS2 Further Maths tutor. Show me a full worked example for this propositional lo

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Real-life application of testing the validity of an argument

Act as my SS2 Further Maths tutor. Explain a real-life or practical situation where testin

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